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• Sin$c

Sin$c-car

Concrete implementation of strin-car.

Signature

(sin$c-car sin$c) → *

Arguments

sin$c — Guard (sin$c-okp sin$c).

Definitions and Theorems

Function: sin$c-car$inline

(defun sin$c-car$inline (sin$c)
  (declare (xargs :stobjs (sin$c)))
  (declare (xargs :guard (sin$c-okp sin$c)))
  (let ((__function__ 'sin$c-car))
    (declare (ignorable __function__))
    (b* (((the string str) (sin$c-str sin$c))
         ((the (unsigned-byte 60) pos)
          (sin$c-pos sin$c))
         ((the (unsigned-byte 60) len)
          (length str)))
      (if (eql pos len)
          nil
        (the character (char str pos))))))

Theorem: sin-car{correspondence}

(defthm sin-car{correspondence}
  (implies (and (sin$corr sin$c sin) (strin-p sin))
           (equal (sin$c-car$inline sin$c)
                  (strin-car sin))))